Answer: The steak costs $ 7.67.
Step-by-step explanation:
Given: Cost per pound of Rib-eye steaks = $8.52
Ms. Markum bought a 0.9-pound steak.
To find : cost of 0.9 pound steak =
Then cost of 0.9 pound steak = 0.9 x (Cost per pound of Rib-eye steaks )
= $ (0.9 x 8.52)
= $7.668 ≈ $ 7.67
Hence, the steak costs $ 7.67.
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
36 I believe sorry if it’s wrong what I did was multiply 2x 18 have I nice day good luck!
Answer: Alycia only established some of the necessary conditions for a congruence criterion.
Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.
There are 5 ways to find out if the triangles are congruent.
The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.
For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:
1) ∠O = ∠S
2) OP = TS
And
3) RS = OQ
So, Alycia's error is that she didn't prove RS = OQ, which would definitively conclude that both triangles are congruent.
